Quadrilateral IJKL is similar to quadrilateral MNOP. Find the measure of side OP. Round your answer to the nearest tenth if necessary.
I
J
K
L
M
N
O
P
29.1
14
8
To find the measure of side OP, we must first find the scale factor between two similar sides in the two quadrilaterals.
In quadrilateral IJKL and MNOP, it looks like side KL and side OP are corresponding sides. Therefore, we need to find the scale factor between side KL and side OP:
Scale Factor = Length of corresponding side in IJKL / Length of corresponding side in MNOP
Scale Factor = 29.1 / 8
Scale Factor = 3.6375
Now that we have the scale factor, we can find the measure of side OP:
Side OP = Scale Factor * Length of side KL
Side OP = 3.6375 * 14
Side OP ≈ 50.9 (rounded to the nearest tenth)
Therefore, the measure of side OP is approximately 50.9.